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Finding the Fourth Proportional to 438,430.60, 657,645.90 and 420,934.60

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Solution

The fourth proportional to 438,430.60, 657,645.90 and 420,934.60 is: 631,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,430.60 : 657,645.90 = 420,934.60 : x
  2. Step 2: Convert to fraction form
    438,430.60/657,645.90 = 420,934.60/x
  3. Step 3: Cross multiply
    438,430.60x = 657,645.90 × 420,934.60
  4. Step 4: Simplify right side
    438,430.60x = 276,825,913,858.14
  5. Step 5: Solve for x
    x = 276,825,913,858.14/438,430.60
  6. Step 6: Final answer
    x = 631,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.